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Relations and Functions

Multiple Choice Questions

81.

If f(x) = 2x - x², then what is value of f(x + 2) + f(x - 2) = ? at x = 0

82.

What is the domain of the function f(x) = cos^-1(x – 2) ?

[ - 1, 1]
[1, 3]
[0, 5]
[ - 2, 1]

83.
Let y = 3x²+ 2. If x changes from 10 to 10.1, then what is the total change in y ?

4.71

5.23

6.03

8.01

6.03

$Given y = 3 x^{2} + 2 so value of y when x = 10 y_{1} = 3 \times 10^{2} + 2 y_{1} = 302 Similarly value of y when x = 10.1 y_{2} = 3 \times 10 . 1^{2} + 2 y_{2} = 3 \times 102.01 + 2 y_{2} = 308.03$

$Hence y_{2} - y_{1} = 308.03 - 302 y_{2} - y_{1} = 6.03$

84.

What is the minimum value of |x – 1|, where x ∈ R ?

85.

If f(x) = 3x² – 5x + p and f(0) and f(1) are opposite in sign, then which of the following is correct ?

-2 < p < 0
-2 < p < 2
1 < p < 2
3 < p < 5

Previous Year Papers

Test Series

Test Yourself

Multiple Choice Questions

83. Let y = 3x2 + 2. If x changes from 10 to 10.1, then what is the total change in y ? 4.71 5.23 6.03 8.01

83.
Let y = 3x²+ 2. If x changes from 10 to 10.1, then what is the total change in y ?

4.71

5.23

6.03

8.01